# Craps - Probability

Warnings Compulsive gambling is a serious problem that afflicts people worldwide, and it doesn't take long to develop a gambling problem. There are two different ways to calculate the odds and house edge of this bet. At one side of the table probably closest to the pit in the center is the "boxman," -- he supervises the game and handles and stashes all the cash way more than what's circulating in all of the Democratic Republic of the Congo. Just as with every game in a casino, the house would have the edge. On the come out, nothing but 7's's. The trouble is a lot of dice are bad at math, and he might get a pair that speak different languages. Generally, if the word "craps" is used without any modifier, it can be inferred to mean this version of the game, to which most of this article refers.

## Online Craps Pages

I wrote a computer simulation to determine this effect. Assuming the player takes fives times odds then turning the odds off on come out rolls increases the ratio of losses to total bets resolved from 0.

So if you want to maximize your return on bets resolved then leave those come odds turned on. You say the house edge on the pass line bet in craps is 1. Is there any coincidence that this number is the square root of 2? Just a coincidence I assure you.

In fact I would argue the house edge in all casino games must be a rational number because there are a limited number of possible outcomes in all games, resulting in a house edge of a perfect fraction. Therefore the two numbers can not be equal. The square root of 2 is 1. In your opinion with which is the best to take.

I took the match play. Thanks for the compliment. I recommend taking the match play. That match play is worth about 48 cents on the dollar. The reason I favor that over blackjack is that blackjack has a lower probability of winning, thus reducing the value of the match play.

For further explanation please see my October 30 column. The American Mensa Guide to Casino Gambling has the following "anything but seven" combination of craps bets that shows a net win on any number except 7. How is that possible if every individual bet made has a higher house edge? To confirm their math I made the following table, based on a field bet paying 3 to 1 on a So the house edge is indeed.

However, in this case the player is only keeping the place bets up for one roll. This significantly reduces the house edge on the place bets from 4. For you purists who think I am inconsistent in measuring the house edge on place bets as per bet resolved or ignoring ties then I invite you to visit my craps appendix 2 where all craps bets are measured per roll including ties.

In one of your answers you state that the average number of rolls for a shooter in craps is 8. How is that number obtained? Let's call x the expected number of rolls per shooter.

Likewise If the player rolls a 5 or 9 on the come out roll the expected number of additional rolls is 3. The probability that player will not seven out is 1 - 0.

Is the combined house edge in craps of 0. As I argue in my sports betting section betting NFL underdogs at home against the point spread also has resulted in a historical advantage. So x odds in craps is still one of the best bets out there, but not the very best.

I agree that this is a very bad decision and poor advice from the dealers. Taking "no action" is the same as trading it for a bet with a 1. So this decision costs the player To any dealers encouraging this I say shame on you. The fewer the sevens the greater the odds favor the pass line bet. The following table shows the house edge according to the percentage of sevens, assuming the probability of all other numbers is proportional to the fair probability.

Hello oh great and powerful Wizard. Love your site and the great education it has given me. Today I am asking a question regarding the math for determining the odds of certain "groups" of wagers.

For instance, the groups of 2 bets wagering on both the 6 and 8 in craps, or the group of 4 bets wagering as an "inside" bet in craps. BUT what if we wager on both the 6 and the 8 at the same time? Using a formula similar to that above: Am I out to lunch?! Thanks for considering this problem.

I get a lot of questions about combinations of craps bets. Your mistake is that both bets are not resolved all of the time. When you win either the 6 or 8 you are taking the other bet down, which brings down the expected loss because you are betting less. So your math is right but you are comparing apples to oranges.

Normal Craps are not allowed in California. Here many casinos are using cards to act as dice, using A,2,3,4,5,6 to act as the 6 sides of the dice. I would assume by using multiple decks it would alter the odds. Does this favor the house as in blackjack The player could bet at higher or lower numbers based on the half of the cards out of the shoe before a shuffle assuming a mid shoe shuffle. There are various ways of using cards in place of dice and still have the odds exactly the same.

One way is to use two separate decks, thus there is no effect of removal. Another way is to have a 7-card deck, featuring the numbers 1 to 6, plus a seventh "double" card. The first card drawn can never be the double card. If it is then it is put back in and the process repeats from the beginning. If the double card is drawn second then it counts as whatever the first number drawn was.

Regardless of how the casino does it I have never seen hard evidence of a case where the odds were different than if two dice were used. So I think you are omitting something from the rules. I have searched and searched to no avail in finding some kind of link to his episode. Thank you for your time.

They sought out my advice on how to best achieve this goal quickly. I was limited to the games at the Golden Nugget. The Nugget has 10x odds in craps, which I felt offered the opportunity to achieve the goal. Then a point was rolled, I think a 6 or 8. On the second roll the shooter sevened out. So the entire grand was lost in two rolls. To answer the first question, I think that for purposes of going for a quick big win the pass line is better.

To answer the second question, there is not much difference between 9x odds and 10x odds and I thought it would look better on television to be betting only black chips, at least to start. In craps, COME bets paid 2: As my blackjack section shows, the 2 to 1 on blackjacks is worth 2. Otherwise the rules look standard. All things considered, the house edge in the blackjack game has a player advantage of 2. Every time this happens you get an extra unit, so it is worth 5.

Normally the house edge on the come bet is 1. So I agree that craps was the better game to play. On a Crapless Craps table in Tunica, you can buy the 2, 3, 11, and You listed the house edge when you place those numbers, but not when one is bought. At the casino, if he gets a point on his first roll, he cleverly switches the dice to the "hot" dice knowing he can't lose.

In fact, he could bring a second pair of dice that just rolled a 3, and use those for his come-out roll, so he has reduced his chance of crapping out by half. Now suppose he gets tired of doing all the rolls to get 7's and 3's. What if he buys dice and rolls them all, then pairs them up into 7's and 3's. Will that work too? Another problem is it's not enough for each die to remember its number. Say he rolled a at home. When he gets to the casino, the 5 die remembers not to roll a 5, and the 2 die remembers not to roll a 2.

But he could get a or He could even get a , with each die switching to the other number. So he needs to find a pair of dice that speak to each other and can do enough math to figure out what numbers they can't use. The trouble is a lot of dice are bad at math, and he might get a pair that speak different languages. The only way he rolls a 7 and keeps the dice is if he gets a natural.

Then he doesn't have a point. If he or someone else rolled the 7 and lost, again there's no point, and the new shooter may pick different dice anyway or is the the table that remembers the last roll, and speaks to the dice too quietly for humans to hear? And why "bet on four numbers"? I could see bet on the five non-points, since you already win if he rolls the point, but why four? If you really believe getting the same roll twice in a row is unlikely, the trick is to wait for a shooter who loses on a 7, then bet don't pass on the next one.

Always bet against a shooter making a point on the first try. Originally Posted by AaronBrown. BB code is On. All times are GMT The time now is If you're betting with the shooter, be as loud as you like.

It's pretty common for the entire casino to hear the roars of the craps table. However, if you've opted for the "Don't Pass" option, keep your excitement to yourself. You wouldn't like it if someone were rooting against you, would you? If you do, you'll not feel very welcome or be welcome at the table. If you're shooting, fling the dice to the opposite end of the table.

And don't skip them along the sides -- the guys working the table want to see the dice in the air. In truth, you could play craps all your life and never have to roll the dice. Players take turns being the "shooter," and you can pass when it's your turn. Craps is a dice game, so you should probably at least learn how to roll in case you feel lucky. Generally when it's your turn, the stickman will present you with five dice.

You then choose two to throw, and the stickman takes the others back. Always handle the dice with only one hand. This is a must-know rule to prevent cheating. When it's your turn to roll the dice, you must roll them so that they cross the table, hit the opposite wall, and bounce off the wall.

If either dice goes off the table or fails to go far enough, you'll need to roll again. The craps table is fairly large, so you actually need to toss the dice rather than simply rolling them as you would for a board game. These are the most basic bets of craps. You can also bet on single numbers or single rolls, and you can even bet on certain more complex "propositions.

It can be a very fast-paced game, so you want to be able to master the simpler bets so that you don't have to think about them. Once you've done so, do some research on the odds of other bets and learn more about betting strategies. Playing only these simple bets will give you better odds than just about anywhere in the casino, but you can win more by playing riskier bets. You can also lose more, and quickly, so you'll need a hefty bankroll if you plan on doing anything more complex.

Just as with every game in a casino, the house would have the edge. Know what you're getting into when you make your bets.

The house has only a 1. They are called "right bettors,"; those who bet against the shooter are called "wrong bettors," unsurprisingly enough. It's not that great of a deal, sure, but remember that once a point is established, Don't Come bettors will win more often than they lose. Don't Come bettors who lay odds also lower the house edge to. House percentages are huge on this type of bet: You place odds behind the line after a point has been established by the shooter in the come-out roll.

Not Helpful 8 Helpful A roll of an eleven 11 , which can only be rolled with a 6 and 5 with the two dice. Not Helpful 1 Helpful 9. A C and E bet is a one-roll bet that wins if the next roll is 2, 3, 12 the C: Craps or 11 the E: It has an unusual payout: It has a house edge of Not Helpful 11 Helpful Won't make many friends that way, because you're going against all the shooters, unless they are playing the same bet as you. Not Helpful 2 Helpful That depends on the next roll of the dice.

Not Helpful 10 Helpful If my opponent has rolled an 8, and I have 5 dollars on a bet, how much can I bet on odds? Not Helpful 2 Helpful 9. If I bet on a number 5, do the dice have to total 5, or can I win if only one die is that number? The dice have to total that number. So if you bet on 5, and the dice are a 5 and 2 total 7 , you lose. Not Helpful 7 Helpful No, a "Don't come" bet cannot be placed when the button indicates "OFF" This means that a new hand is starting.

Only once a point has been established and the button has been flipped to "ON" and placed on a point may you place a "Come" or "Don't come" bet. Once the point is set you can bet on the numbers. If the shooter hits the point, then your bets will be "off," meaning you can't lose them if a 7 is rolled before the next point is set. Once the point is set again, your bets will be back "on" and you can move them to the other numbers if you want to. Not Helpful 9 Helpful There isn't a legal way to roll a 7 every time.

It's a matter of chance. That's how the game is supposed to be. Not Helpful 17 Helpful After I won on 7 I was asked if wanted the drop I said yes my stake was taken away so what is the drop. Answer this question Flag as Can I switch from "don't pass-don't come" bets to "pass-come" bets in the same game?

How to get my winnings off the place bets? What does a craps check mean when playing craps? Include your email address to get a message when this question is answered. Already answered Not a question Bad question Other. By using this service, some information may be shared with YouTube. Quick Summary To play Craps, start by placing a bet on the pass line before the shooter rolls the dice—if the shooter rolls a 7 or 11, you win twice your bet.

Did this summary help you? Tips Some casinos offer classes for how to play craps and other table games. You can learn a great deal in a short time in one of these courses. The key thing to understand is the difference between the win-loss rules on come-out rolls versus those when a point has been established. Different casinos may have slight variations on the rules, particularly concerning how much can be bet on certain bets.